F. Polizzi

activity

20032026

most citedStandard isotrivial fibrations with p_g=q=1

36 citations · 262 across the 30 of their papers we have counts for

collaborators

Showing math.AGShow all

25 papers · 1 filter

math.AG2026

The Picard number of fibred Mori dream surfaces

Federico Fallucca, Roberto Pignatelli, Francesco Polizzi

Let $S$ be a smooth complex projective surface endowed with a fibration $f : S \to C$ onto a smooth projective curve $C$ . We prove that, if $S$ is a Mori dream space (or, more…

math.AG2025

Groups of order 64 and non-homeomorphic double Kodaira fibrations with the same biregular invariants

Francesco Polizzi, Pietro Sabatino

Let $Σ_{b}$ be a closed Riemann surface of genus $b$ . We investigate finite quotients $G$ of the pure braid group on two strands $P_{2} (Σ_{b})$ which do not factor through $π_1(…

math.AG2022

Pluri-cotangent maps of surfaces of general type

Francesco Polizzi, Xavier Roulleau

Let $X$ be a compact, complex surface of general type whose cotangent bundle $Ω_{X}$ is strongly semi-ample. We study the pluri-cotangent maps of $X$ , namely the morphisms $ψ_n \colo…

math.AG2021★ 1 cited

Extra-special quotients of surface braid groups and double Kodaira fibrations with small signature

Francesco Polizzi, Pietro Sabatino

We study some special systems of generators on finite groups, introduced in previous work by the first author and called "diagonal double Kodaira structures", in order to investiga…

math.AG2020★ 3 cited

Diagonal double Kodaira structures on finite groups

Francesco Polizzi

We introduce some special presentations on finite groups, that we call "diagonal double Kodaira structures" and whose existence is equivalent to the existence of some special Kodai…

math.AG2019

Representations of braid groups and construction of projective surfaces

Francesco Polizzi

Braid groups are an important and flexible tool used in several areas of science, such as Knot Theory (Alexander's theorem), Mathematical Physics (Yang-Baxter's equation) and Algeb…

math.AG2019★ 5 cited

Surface braid groups, finite Heisenberg covers and double Kodaira fibrations

Andrea Causin, Francesco Polizzi

We exhibit new examples of double Kodaira fibrations by using finite Galois covers of a product $Σ_{b} \times Σ_{b}$ , where $Σ_{b}$ is a smooth projective curve of genus $b \geq 2$ . Each…

math.AG2017★ 3 cited

Monodromy representations and surfaces with maximal Albanese dimension

Francesco Polizzi

We relate the existence of some surfaces of general type and maximal Albanese dimension to the existence of some monodromy representations of the braid group $B_{2} (C_{2})$ in…

math.AG2017★ 9 cited

A pair of rigid surfaces with $p_{g} = q = 2$ and $K^{2} = 8$ whose universal cover is not the bidisk

Francesco Polizzi, Carlos Rito, Xavier Roulleau

We construct two complex-conjugated rigid surfaces with $p_{g} = q = 2$ and $K^{2} = 8$ whose universal cover is not biholomorphic to the bidisk. We show that these are the unique surfaces w…

math.AG2016★ 10 cited

A family of surfaces with $p_{g} = q = 2, K^{2} = 7$ and Albanese map of degree $3$

Roberto Pignatelli, Francesco Polizzi

We study a family of surfaces of general type with $p_{g} = q = 2$ and $K^{2} = 7$ , originally constructed by Cancian and Frapporti by using the Computer Algebra System MAGMA. We provide an…

math.AG2014★ 4 cited

A note on surfaces with $p_{g} = q = 2$ and an irrational fibration

Matteo Penegini, Francesco Polizzi

We study several examples of surfaces with $p_{g} = q = 2$ and maximal Albanese dimension that are endowed with an irrational fibration.

math.AG2013★ 1 cited

Isotrivially fibred surfaces and their numerical invariants

Francesco Polizzi

We give a survey of our previous work on relatively minimal isotrivial fibrations $α : X \to C$ , where $X$ is a smooth, projective surface and $C$ is a curve. In particular, we…

math.AG2013★ 7 cited

On factoriality of threefolds with isolated singularities

Francesco Polizzi, Antonio Rapagnetta, Pietro Sabatino

We investigate the existence of complete intersection threefolds $X \subset P^{n}$ with only isolated, ordinary multiple points and we provide some sufficient conditions for…

math.AG2012★ 10 cited

A new family of surfaces with $p_{g} = q = 2$ and $K^{2} = 6$ whose Albanese map has degree $4$

Matteo Penegini, Francesco Polizzi

We construct a new family of minimal surfaces of general type with $p_{g} = q = 2$ and $K^{2} = 6$ , whose Albanese map is a quadruple cover of an abelian surface with polarization of type $(…

math.AG2012

Deformations of product-quotient surfaces and reconstruction of Todorov surfaces via $Q$ -Gorenstein smoothing

Yongnam Lee, Francesco Polizzi

We consider the deformation spaces of some singular product-quotient surfaces $X = (C_{1} \times C_{2}) / G$ , where the curves $C_{i}$ have genus 3 and the group $G$ is isomorphic to $\mathb…

math.AG2011★ 2 cited

On surfaces with p_g=2, q=1 and K^2=5

Tommaso Gentile, Paolo A. Oliverio, Francesco Polizzi

We consider minimal surfaces of general type with $p_{g} = 2$ , $q = 1$ and $K^{2} = 5$ . We provide a stratification of the corresponding moduli space and we give some bounds for the nu…

math.AG2011★ 17 cited

Surfaces with p_g=q=2, K^2=6 and Albanese map of degree 2

Matteo Penegini, Francesco Polizzi

We classify minimal surfaces $S$ of general type with $p_{g} = q = 2$ and $K_{S}^{2} = 6$ whose Albanese map is a generically finite double cover. We show that the corresponding moduli space i…

math.AG2010

On surfaces with p_g=q=2, K^2=5 and Albanese map of degree 3

Matteo Penegini, Francesco Polizzi

We construct a connected, irreducible component of the moduli space of minimal surfaces of general type with $p_{g} = q = 2$ and $K^{2} = 5$ , which contains both examples given by Chen-Hacon…

math.AG2008★ 24 cited

Numerical properties of isotrivial fibrations

Francesco Polizzi

In this paper we investigate the numerical properties of relatively minimal isotrivial fibrations $φ\colon X \lr C$, where $X$ is a smooth, projective surface and $C$ is a curve. I…

math.AG2008★ 17 cited

Standard isotrivial fibrations with p_g=q=1. II

Ernesto Mistretta, Francesco Polizzi

A smooth, projective surface $S$ is called a $standard isotrivial fibration$ if there exists a finite group $G$ which acts faithfully on two smooth projective curves $C$ and…

math.AG2007★ 17 cited

The classification of surfaces with p_g=q=1 isogenous to a product of curves

Giovanna Carnovale, Francesco Polizzi

A projective surface S is said to be isogenous to a product if there exist two smooth curves C, F and a finite group G acting freely on C \times F so that S=(C \times F)/G. In this…

math.AG2007★ 36 cited

Standard isotrivial fibrations with p_g=q=1

Francesco Polizzi

A smooth, projective surface $S$ of general type is said to be a \emph{standard isotrivial fibration} if there exist a finite group $G$ which acts faithfully on two smooth projecti…

math.AG2006★ 26 cited

On surfaces of general type with p_g=q=1 isogenous to a product of curves

Francesco Polizzi

A smooth algebraic surface $S$ is said to be \emph{isogenous to a product of unmixed type} if there exist two smooth curves $C, F$ and a finite group $G$ , acting faithfully on both…

math.AG2005★ 25 cited

On surfaces of general type with $p_{g} = q = 1, K^{2} = 3$

Francesco Polizzi

The moduli space $M$ of surfaces of general type with $p_{g} = q = 1, K^{2} = g = 3$ (where $g$ is the genus of the Albanese fibration) was constructed by Catanese and Ciliberto in \…

The Picard number of fibred Mori dream surfaces

Groups of order 64 and non-homeomorphic double Kodaira fibrations with the same biregular invariants

Pluri-cotangent maps of surfaces of general type

Extra-special quotients of surface braid groups and double Kodaira fibrations with small signature

Diagonal double Kodaira structures on finite groups

Representations of braid groups and construction of projective surfaces

Surface braid groups, finite Heisenberg covers and double Kodaira fibrations

Monodromy representations and surfaces with maximal Albanese dimension

A pair of rigid surfaces with pg​=q=2 and K2=8 whose universal cover is not the bidisk

A family of surfaces with pg​=q=2,K2=7 and Albanese map of degree 3

A note on surfaces with pg​=q=2 and an irrational fibration

Isotrivially fibred surfaces and their numerical invariants

On factoriality of threefolds with isolated singularities

A new family of surfaces with pg​=q=2 and K2=6 whose Albanese map has degree 4

Deformations of product-quotient surfaces and reconstruction of Todorov surfaces via Q-Gorenstein smoothing

On surfaces with p_g=2, q=1 and K^2=5

Surfaces with p_g=q=2, K^2=6 and Albanese map of degree 2

On surfaces with p_g=q=2, K^2=5 and Albanese map of degree 3

Numerical properties of isotrivial fibrations

Standard isotrivial fibrations with p_g=q=1. II

The classification of surfaces with p_g=q=1 isogenous to a product of curves

Standard isotrivial fibrations with p_g=q=1

On surfaces of general type with p_g=q=1 isogenous to a product of curves

On surfaces of general type with pg​=q=1,K2=3

A pair of rigid surfaces with $p_{g} = q = 2$ and $K^{2} = 8$ whose universal cover is not the bidisk

A family of surfaces with $p_{g} = q = 2, K^{2} = 7$ and Albanese map of degree $3$

A note on surfaces with $p_{g} = q = 2$ and an irrational fibration

A new family of surfaces with $p_{g} = q = 2$ and $K^{2} = 6$ whose Albanese map has degree $4$

Deformations of product-quotient surfaces and reconstruction of Todorov surfaces via $Q$ -Gorenstein smoothing

On surfaces of general type with $p_{g} = q = 1, K^{2} = 3$